If the speech is famous or widely quoted, the answer changes. A detector may be reacting to how predictable the wording is, and heavily reproduced language can be unusually predictable. That makes a historic speech a nasty test case, not persuasive evidence of synthetic authorship.
I would compare the flagged excerpt with a less famous passage by the same speaker. Keep the period, subject, and formal style roughly similar. Then divide both texts into small, fixed chunks. If the detector concentrates its flags around familiar quotations, slogans, repeated phrases, or applause lines, corpus familiarity is a more plausible explanation than “AI-like writing.”
An exact-phrase search is useful for a different reason. It tells you whether the passage has been copied across thousands of websites, textbooks, quotation pages, and speech collections. That does not prove how the detector works internally, but it identifies a serious confounder. The detector may be scoring predictability while presenting the result as authorship evidence. Those are very different claims.
I agree with @greentiger that the percentage should not be read as a probability. I would go further: do not even call it an accuracy score unless the company documents how that number was calibrated. A polished interface can put “87%” on what is basically an unexplained ranking value.
The cleanest sanity check is to give the detector material that cannot be AI-generated by date, but varies in how famous and formulaic it is. Include private letters, newspaper editorials, legislative remarks, sermons, technical reports, and obscure speeches. If it mainly condemns formal or frequently reproduced prose, you have learned what its trigger is.
Provenance settles the authorship question. The historical test set settles whether the detector deserves attention. If it fails that set, the detector has not found AI. It has failed a basic reality check.